Not really, OpenVZ was/is really quite good, it was just hampered by the fact it requires out of tree modules. LXC has also always been very usable (Docker even used it for several years) but it was IMHO too focused on the VM-like management scheme that Zones and Jails had.
Docker's killer selling point was that it solved a very common and specific developer problem, not that it provided operational improvements over the state of the art on Linux. From an operational perspective, Docker has generally been a downgrade compared to LXC. (I say this as a maintainer of runc, the container runtime that underpins Docker, and as someone who worked a lot on Docker back in the early days and somewhat less today.)
Docker's killer selling point was that it solved a very common and specific developer problem, not that it provided operational improvements over the state of the art on Linux. From an operational perspective, Docker has generally been a downgrade compared to LXC. (I say this as a maintainer of runc, the container runtime that underpins Docker, and as someone who worked a lot on Docker back in the early days and somewhat less today.)